Answer:
field goals = 36, foul shots = 28.
Step-by-step explanation:
Given:
Chamberlin scored 100 points.
Chamberlain made a total of 64 baskets consisting of field goals and foulshots.
Each field goal worth = 2 points
Each foulshot worth = 1 points
Question asked:
Find the number of field goals and the number of foul shots that chamberlain made ?
Solution:
Let number of field goals = [tex]x[/tex]
As total of 64 baskets, he made:
Then number of foul shots = [tex]64-x[/tex]
Now, total points, he scored is given 100,
Number of field goals [tex]\times[/tex] 2 + Number of foul shots [tex]\times[/tex] 1 = 100
[tex]x\times2+(64-x)\times1=100\\2x+64-x=100\\x+64=100[/tex]
Subtracting both sides by 64
[tex]x+64-64=100-64\\x=36[/tex]
Number of field goals = [tex]x[/tex] = 36
Then number of foul shots = [tex]64-x[/tex] = 64 - 36 = 28
Therefore, 36 field goals and 28 foul shots made by chamberlain.
